Generalized Heisenberg groups and Damek-Ricci harmonic spaces
Author(s)
Bibliographic Information
Generalized Heisenberg groups and Damek-Ricci harmonic spaces
（Lecture notes in mathematics, 1598）
Springer-Verlag, c1995
- : gw
- : us
- Other Title
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Heisenberg groups
Damek-Ricci harmonic spaces
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1598RM950401
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Note
Bibliography: p. 115-122
Includes index
Description and Table of Contents
Description
Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres.
These notes contain a thorough study of their Riemannian geometry by means of a detailed treatment of their Jacobi vector fields and Jacobi operators. Some problems are included and will hopefully stimulate further research on these spaces. The book is written for students and researchers, assuming only basic knowledge of Riemannian geometry, and it contains a brief survey of the background material needed to follow the entire treatment.
Table of Contents
Symmetric-like riemannian manifolds.- Generalized Heisenberg groups.- Damek-Ricci spaces.
by "Nielsen BookData"